54 research outputs found
Left and right handedness of fermions and bosons
It is shown, by using Grassmann space to describe the internal degrees of
freedom of fermions and bosons, that the Weyl like equation exists not only for
massless fermions but also for massless gauge bosons. The corresponding states
have well defined helicity and handedness. It is shown that spinors and gauge
bosons of the same handedness only interact.Comment: 18 pages, LaTeX, no figures, typographical errors corrected and a few
sentences added to clarify some issue
The "approach unifying spin and charges" predicts the fourth family and a stable family forming the dark matter clusters
The Approach unifying spin and charges, assuming that all the internal
degrees of freedom---the spin, all the charges and the families---originate in
in only two kinds of spins (the Dirac one and the only one existing
beside the Dirac one and anticommuting with the Dirac one), is offering a new
way in understanding the appearance of the families and the charges (in the
case of charges the similarity with the Kaluza-Klein-like theories must be
emphasized). A simple starting action in for gauge fields (the
vielbeins and the two kinds of the spin connections) and a spinor (which
carries only two kinds of spins and interacts with the corresponding gauge
fields) manifests after particular breaks of the starting symmetry the massless
four (rather than three) families with the properties as assumed by the
Standard model for the three known families, and the additional four massive
families. The lowest of these additional four families is stable. A part of the
starting action contributes, together with the vielbeins, in the break of the
electroweak symmetry manifesting in the Yukawa couplings (determining
the mixing matrices and the masses of the lower four families of fermions and
influencing the properties of the higher four families) and the scalar field,
which determines the masses of the gauge fields. The fourth family might be
seen at the LHC, while the stable fifth family might be what is observed as the
dark matter.Comment: 11 pages, to appear in Proceedings to the 5th International
Conference on Beyond the Standard Models of Particle Physics, Cosmology and
Astrophysics, Cape Town, February 1- 6, 2010
Unification of spins and charges in Grassmann space and in space of differential forms
Polynomials in Grassmann space can be used to describe all the internal
degrees of freedom of spinors, scalars and vectors, that is their spins and
charges. It was shown that K\"ahler spinors, which are polynomials of
differential forms, can be generalized to describe not only spins of spinors
but also spins of vectors as well as spins and charges of scalars, vectors and
spinors. If the space (ordinary and noncommutative) has 14 dimensions or more,
the appropriate spontaneous break of symmetry leads gravity in dimensions
to manifest in four dimensional subspace as ordinary gravity and all needed
gauge fields as well as the Yukawa couplings. Both approaches, the K\"ahler's
one (if generalized) and our, manifest four generations of massless fermions,
which are left handed SU(2) doublets and right handed SU(2) singlets. In this
talk a possible way of spontaneously broken symmetries is pointed out on the
level of canonical momentum.Comment: 26 pages, no figure
Gauge fields with respect to in the Kaluza-Klein theories and in the spin-charge-family theory
It is shown that in the spin-charge-family theory, as well as in all the
Kaluza-Klein like theories, vielbeins and spin connections manifest in
space equivalent vector gauge fields, when space with
manifests large enough symmetry. The authors demonstrate this equivalence in
spaces with the symmetry of the metric tensor in the space out of -
- for any scalar function of
the coordinates , where denotes coordinates of space
out of . Also the connection between vielbeins and scalar gauge fields
in (offering the explanation for the Higgs's scalar) is discussed.Comment: 9 pages, EPJC macros, revised version to be published at EPJ
- …